[" 20.Prove that the area of the triangle formed by "ax^(2)+2hxy+by^(2)=0" and "Lx+my+n=0" is "],[(n^(2)sqrt(h^(2)-ab))/(|am^(2)-2hlm+bl^(2))]

Show that the area of the triangle formed by the lines ax^2+2hxy+by^2=0 and lx+my+n=0 is (n^2sqrt((h^2-ab)))/(|(am^2-2hlm+bl^2)|)

Show that the area of the triangle formed by the lines ax^2+2hxy+by^2=0 and lx+my+n=0 is (n^2sqrt((h^2-ab)))/(|(am^2-2hlm+bl^2)|)

Show that the area of the triangle formed by the lines ax^2+2hxy+by^2=0 and lx+my+n=0 is (n^2sqrt((h^2-ab)))/(|(am^2-2hlm+bl^2)|)

Show that the area of the triangle formed by the lines ax^2+2hxy+by^2=0 and lx+my+n=0 is (n^2sqrt((h^2-ab)))/(|(am^2-2hlm+bl^2)|)

Show that the area of the triangle formed by the lines ax^2 + 2hxy + by^2 = 0 and lm + my + n =0 is (n^2 sqrt(h^2 - ab))/(|am^2 - 2hlm + bl^2|)

Prove that the aea of the triangle formed by y=x+c and the pair of lines ax^(2)+2hxy=by^(2)=0 is (e^(2)sqrt(h^(2)-ab))/(|a+b+2h|) sq. units.

Prove that the triangle formed by the lines ax^(2)+2hxy+by^(2)=0 and lx+my=1 is Isosceles if h(l^(2)-m^(2))=(a-b) lm .